Below You Are Given Ages That Were Obtained by Taking $\mu$

question 108

Essay

Below you are given ages that were obtained by taking a random sample of 9 undergraduate students. Assume the population has a normal distribution.

a.What is the point estimate of $\mu$ ?
b.Determine the standard deviation.
c.Construct a 90% confidence interval for the average age of undergraduate students.
d.Construct a 99% confidence interval for the average age of undergraduate students.
e. Discuss why the 99% and 90% confidence intervals are different.

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Definitions:

Polymorphic

In computing, it refers to the ability of objects to process data differently based on their data type or class; in biology, it indicates the occurrence of two or more clearly different morphs or forms.

Monomorphic

Characterized by having a single shape or form, often used in the context of genes or polymorphism.

Reactance

A psychological response wherein individuals feel the need to regain freedom or control when they perceive it as being taken away.

Independence

The state or quality of being self-reliant and free from outside control, capable of making decisions and acting on one's own.